Grades 11-12 Video Solutions 2014-11&12 Video Solutions 2014 problem22

11&12 Video Solutions 2014 problem22

Video Transcription

Video Summary

The problem involves finding the ratio of side lengths in a rectangle using properties of similar triangles. Given that T is the midpoint of RS in rectangle PQR, the task is to find the ratio of PQ to QR. Using properties of right angles and similar triangles, the problem establishes relationships between segments. By showing triangles PQR and QRT are similar, the ratio PQ to QR is derived. The relationship RT = 1/2 PQ helps solve the equations, ultimately leading to the conclusion that the ratio of PQ to QR is √2:1.

Keywords

rectangle

similar triangles

ratio

midpoint

geometry